# Component

## Component: Linear functions

### Question 2

Written Paper Section I Question 2 - 2001 HSC

Find the equation of a tangent to a curve. Show the equation and length of a line are as given. Calculate the perpendicular distance of the line from the origin and the area of a parallelogram. Find the perpendicular distance of another line from the origin.

### Question 3

Written Paper Section I Question 3 - 2010 HSC

Find the midpoint, gradient and length of an interval and the equation of a line. Prove two given triangles are similar. Find the perpendicular distance of a point from a line. Sketch a curve. Obtain an approximation to a definite integral using the trapezoidal rule and compare the approximation to the exact value of the definite integral.

### Question 3

Written Paper Section I Question 3 - 2002 HSC

Calculate the value of an investment earning compound interest. Determine the value of a pronumeral using geometric reasoning. Find the midpoint of an interval, the coordinates of a particular point, the point of intersection of two lines, and the area of a specified triangle. Show a given equation is the equation of the perpendicular bisector of an interval.